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AP Calculus 20 Week Review Part III 1) is (A) -2 2) (B) -1 (C) ½ (D) 0 (E) nonexistent (C) (D) 0 (E) 1/3 is (A) -1/3 (B) -1 e ln u 3) If y then u (A) 4) Name _________________________ equals (B) (C) A point moves along the curve (D) 1 (E) 0 so that the x-coordinate is increasing at the constant rate of 3/2 units per second. The rate, in units per second, at which the distance from the origin is changing when the point has coordinates (1, 2) is equal to (A) 5) (B) (C) (D) (E) For questions 6 – 8, Use the graph below consisting of two line segments and a quarter-circle. The graph shows the velocity of an object during a 6-second interval. 6) For how many values of t in the interval 0 < t < 6 is the acceleration undefined? (A) none (B) one (C) two (D) three (E) four 7) During what time interval (in sec) is the speed increasing? (A) 0 < t < 3 (B) 3 < t < 5 (C) 3 < t < 6 (D) 5 < t < 6 (E) never 8) What is the average acceleration (in units/sec2) during the first 5 seconds? (A) -5/2 (B) -1 (C) -1/5 (D) 1/5 (E) ½ 9) The curve of (A) (B) (C) (D) (E) has Two horizontal asymptotes Two horizontal asymptotes and one vertical asymptote Two vertical asymptotes but no horizontal asymptote One horizontal asymptote and one vertical asymptote One horizontal asymptote and two vertical asymptotes 10) The function passes through the point (1,2). Let f. Then equals (A) 1/83 (B) 1/8 (C) 1 (D) 8 denote the inverse of (E) 83 11) Suppose Which statement is true? (A) (B) (C) (D) (E) f is discontinuous only at x=-2 f is discontinuous only at x =1 If f (-2) is defined to be 4, then f will be continuous everywhere f is continuous everywhere f is discontinuous at x=-2 and at x=1. 12) Which of the following statements is (are) true about the graph of I. II. III. (A) I only ? It is symmetric to the y-axis. It has a local minimum at x=0. It has inflection points at x= . (B) II only (C) III only (D) I and II only (E) I, II, and III Calculator Allowed 2ln x . If F(2) = 0 then F(8) = 3x 4 13) Let F(x) be an antiderivative of (A) 5.163 (B) 0.860 14) The curve defined by (A) 0 or – 1/3 15) (B) 1.037 (C) 0.184 (D) 0.180 (E) 0.004 has a vertical tangent line when x = (C) 2.074 (D) 2.096 (E) 2.154 16) 17) The velocity of a particle in motion along a line (for t acceleration when the object is at rest. (A) -2 (B) 0 (C) ½ Section II Calculator Allowed 18) (D) 0 ) is (E) none of these . Find the No Calculator Allowed 19) 20) differential